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N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method 期刊论文
WAVE MOTION, 2022, 卷号: 114, 页码: 13
作者:  Zhang, Minghe;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载:108/0  |  提交时间:2023/02/07
Multi-component third-fifth-order mKdV  equations  Lax pair  Riemann-Hilbert approach  Soliton solutions  Breathers  
Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 5, 页码: 52
作者:  Zhang, Guoqiang;  Ling, Liming;  Yan, Zhenya
收藏  |  浏览/下载:205/0  |  提交时间:2021/10/26
Multi-component NLS equations  Nonzero boundary conditions  Lax pair  Loop group method  Darboux transform  Higher-order vector Peregrine solitons  Parity-time-reversal symmetry  Governing polynomial  Asymptotic estimates  
A novel hierarchy of two-family-parameter equations: Local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrodinger equations 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 79, 页码: 123-130
作者:  Yan, Zhenya
收藏  |  浏览/下载:175/0  |  提交时间:2018/07/30
Two families of parameters  Local, nonlocal, and mixed-local-nonlocal VNLS equations  Lax pair  Conservation laws  PT symmetry  Symmetry reductions  
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 69, 页码: 113-120
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Chen, Yong
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
Integrable nonlocal nonlinear schrodinger equation  Lax pair  Loop group method  Generalized darboux transformation  Higher-order rational solitons  
Nonlocal general vector nonlinear Schrodinger equations: Integrability, PT symmetribility, and solutions 期刊论文
APPLIED MATHEMATICS LETTERS, 2016, 卷号: 62, 页码: 101-109
作者:  Yan, Zhenya
收藏  |  浏览/下载:136/0  |  提交时间:2018/07/30
Nonlocal general VNLS equations  Lax pair  Conservation laws  PT symmetribility  Symmetry reductions  Exact solutions  Solitons  
Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model 期刊论文
APPLIED MATHEMATICS LETTERS, 2015, 卷号: 47, 页码: 61-68
作者:  Yan, Zhenya
收藏  |  浏览/下载:133/0  |  提交时间:2018/07/30
Two-parameter family of nonlocal vector nonlinear Schrodinger equations  Lax pair  Conservation laws  PT symmetry  Solitons  
Prolongation structures of a generalized coupled Korteweg-de Vries equation and Miura transformation 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 卷号: 15, 期号: 9, 页码: 2344-2349
作者:  Cao, Yuan-Hao;  Wang, Deng-Shan
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
Prolongation structure  Lax pair  KdV equation  Miura transformation  
Bilinear Backlund transformation and Lax pair for a coupled Ramani equation 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 卷号: 357, 期号: 1, 页码: 132-136
作者:  He, Yi;  Tam, Hon-Wah
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Soliton  Coupled Ramani equation  Lax pair  Backlund transformation  
Fermionic prolongation structure of the N=1 supersymmetric nonlocal gas equation 期刊论文
PHYSICS LETTERS A, 2009, 卷号: 373, 期号: 4, 页码: 430-433
作者:  Chen, Xiu-Xiu;  Jia, Xiao-Yu;  Wu, Ke;  Zhao, Wei-Zhong
收藏  |  浏览/下载:131/0  |  提交时间:2018/07/30
Supersymmetric nonlocal gas equation  Prolongation structure  Lax pair  
Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice 期刊论文
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 卷号: 15, 期号: 3, 页码: 233-252
作者:  Hu, Xing-Biao;  Yu, Guo-Fu
收藏  |  浏览/下载:214/0  |  提交时间:2018/07/30
integrable system  integrable discretization  Backlund transformation  Lax pair